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Finding the Fourth Proportional to 2,200.58, 3,297.38 and 812

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Solution

The fourth proportional to 2,200.58, 3,297.38 and 812 is: 1,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.58 : 3,297.38 = 812 : x
  2. Step 2: Convert to fraction form
    2,200.58/3,297.38 = 812/x
  3. Step 3: Cross multiply
    2,200.58x = 3,297.38 × 812
  4. Step 4: Simplify right side
    2,200.58x = 2,677,472.56
  5. Step 5: Solve for x
    x = 2,677,472.56/2,200.58
  6. Step 6: Final answer
    x = 1,216.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.